COMEDK · Maths · 4. Permutation Combination
The total number of numbers greater than 1000 but less than 4000 that can be formed using 0, 2, 3, 4 (using repetition allowed) are
- A 125
- B 105
- C 625
- D 128
Answer & Solution
Correct Answer
(D) 128
Step-by-step Solution
Detailed explanation
Numbers must be 4-digit, between 1000 and 4000, using digits \(\{0, 2, 3, 4\}\) with repetition allowed. First digit \(d_1\): must be 2 or 3 (not 0, and not 4 since that gives 4000 or above) \(\to\) 2 choices. \(d_2, d_3, d_4\): each can be any of \(\{0, 2, 3, 4\}\) \(\to\) 4…
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